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Finding the Third Proportional to 112,374 and 168,507

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Solution

The third proportional to 112,374 and 168,507 is: 252,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,374 : 168,507 = 168,507 : x
  2. Step 2: Convert to fraction form
    112,374/168,507 = 168,507/x
  3. Step 3: Cross multiply
    112,374x = 168,507 × 168,507
  4. Step 4: Simplify right side
    112,374x = 28,394,609,049
  5. Step 5: Solve for x
    x = 28,394,609,049/112,374
  6. Step 6: Final answer
    x = 252,679.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.